Least Common Multiple of 354/226, 4437/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 354/226, 4437/918 quickly i.e. 261783 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 354/226, 4437/918 is 261783.

LCM(354/226, 4437/918) = 261783

LCM of 354/226, 4437/918

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 354/226,4437/918

Given numbers are 354/226,4437/918

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 354,4437

Least Common Multiple of Numerators i.e. LCM of 354,4437 is 523566.

GCF of Denominators means GCF of 226,918 as per the given fractions.

GCF of 226,918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 354,4437

LCM of Fractions 354/226,4437/918 is 261783

3 354, 4437
118, 1479

∴ So the LCM of the given numbers is 3 x 118 x 1479 = 523566

Least Common Multiple of 354,4437 with GCF Formula

Least Common Multiple of 354,4437 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 354,4437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,4437) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(354,4437) x common factors =3 x 1 = 3

LCM(354,4437) = ( 354 × 4437 ) / 3

LCM(354,4437) = 1570698 / 3

LCM(354,4437) = 523566


Lets's calculate GCF of 226,918

2 226, 918
113, 459

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 523566/2

Therefore the LCM of Fractions 354/226,4437/918 is 261783

Greatest Common Factor of 226,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,918 By Matching Biggest Common Factor Method

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 226,918 . The biggest common factor number is the GCF number.
So the greatest common factor 226,918 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 354/226, 4437/918

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 354/226, 4437/918?

Answer: LCM of Numerators as per given numbers 354/226, 4437/918 is

LCM of Numerators i.e. for 354,4437 is 523566

GCF of denominators i.e. for 226,918 is 2.

Thus, LCM of Fractions is 261783.Finally, LCM of Fractions for 354/226, 4437/918 is 261783.